Least Common Multiple of 282/131, 491/186, 549/233

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 282/131, 491/186, 549/233 quickly i.e. 25338546 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 282/131, 491/186, 549/233 is 25338546.

LCM(282/131, 491/186, 549/233) = 25338546

LCM of 282/131, 491/186, 549/233

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 282/131,491/186,549/233

Given numbers are 282/131,491/186,549/233

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 282,491,549

Least Common Multiple of Numerators i.e. LCM of 282,491,549 is 25338546.

GCF of Denominators means GCF of 131,186,233 as per the given fractions.

GCF of 131,186,233 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 282,491,549

LCM of Fractions 282/131,491/186,549/233 is 25338546

3 282, 491, 549
94, 491, 183

∴ So the LCM of the given numbers is 3 x 94 x 491 x 183 = 25338546

Least Common Multiple of 282,491,549 with GCF Formula

Least Common Multiple of 282,491,549 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 282,491,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(282,491,549) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(282,491,549) x common factors =1 x 3 = 3

LCM(282,491,549) = ( 282 × 491 × 549 ) / 3

LCM(282,491,549) = 76015638 / 3

LCM(282,491,549) = 25338546


Lets's calculate GCF of 131,186,233

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25338546/1

Therefore the LCM of Fractions 282/131,491/186,549/233 is 25338546

Greatest Common Factor of 131,186,233 By Matching Biggest Common Factor Method

Greatest Common Factor of 131,186,233 By Matching Biggest Common Factor Method

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Factors of 233

List of positive integer factors of 233 that divides 233 without a remainder.

1,233

Greatest Common Factor

We found the factors 131,186,233 . The biggest common factor number is the GCF number.
So the greatest common factor 131,186,233 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 282/131, 491/186, 549/233

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 282/131, 491/186, 549/233?

Answer: LCM of Numerators as per given numbers 282/131, 491/186, 549/233 is

LCM of Numerators i.e. for 282,491,549 is 25338546

GCF of denominators i.e. for 131,186,233 is 1.

Thus, LCM of Fractions is 25338546.Finally, LCM of Fractions for 282/131, 491/186, 549/233 is 25338546.